Editing Triangulation (topology) (section)

=== Simplicial maps ===
The maps considered in this category are simplicial maps: Let <math>\mathcal{K}</math>, <math>\mathcal{L}</math> be abstract simplicial complexes above sets <math>V_K</math>, <math>V_L</math>. A simplicial map is a function <math>f:V_K \rightarrow V_L</math> which maps each simplex in <math>\mathcal{K}</math> onto a simplex in <math>\mathcal{L}</math>. By affine-linear extension on the simplices, <math>f </math> induces a map between the geometric realizations of the complexes.<ref name=":04"/>